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What is the Least Common Multiple of 93413 and 93429?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 93413 and 93429 is 8727483177.

LCM(93413,93429) = 8727483177

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Least Common Multiple of 93413 and 93429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93413 and 93429, than apply into the LCM equation.

GCF(93413,93429) = 1
LCM(93413,93429) = ( 93413 × 93429) / 1
LCM(93413,93429) = 8727483177 / 1
LCM(93413,93429) = 8727483177

Least Common Multiple (LCM) of 93413 and 93429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93413 and 93429. First we will calculate the prime factors of 93413 and 93429.

Prime Factorization of 93413

Prime factors of 93413 are 109, 857. Prime factorization of 93413 in exponential form is:

93413 = 1091 × 8571

Prime Factorization of 93429

Prime factors of 93429 are 3, 7, 1483. Prime factorization of 93429 in exponential form is:

93429 = 32 × 71 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 93413 and 93429.

LCM(93413,93429) = 1091 × 8571 × 32 × 71 × 14831
LCM(93413,93429) = 8727483177